Understanding Rectangle Area and Dimensions

The video tutorial explains how to determine the possible dimensions of a rectangle given its area expression, 30x + 24 square meters. It covers the concept of area calculation using length and width, and demonstrates the use of the distributive property to verify different sets of dimensions. The tutorial analyzes five sets of dimensions, identifying which ones match the given area expression, and concludes with a summary of the findings.

What is the expression given for the area of the rectangle?

• 30x plus 24 square meters

• 28x plus 24 square meters

• 24 plus 30x square meters

• 30 plus 24x square meters

What is the distributive property often referred to as?

• Division across subtraction

• Subtraction across division

• Addition across multiplication

• Multiplication across addition or subtraction

Which of the following is NOT a possible dimension for the rectangle?

• 2 times 15x and 2 times 12

• 6 times 5x and 6 times 4

• 4 times 7x and 4 times 6

• 3 times 8 and 3 times 10x

What is the result of distributing 6 in the expression 6 times (5x + 4)?

• 24 plus 30x

• 30 plus 24x

• 28x plus 24

• 30x plus 24

Which expression is equivalent to 2 times (15x + 12)?

• 30 plus 24x

• 24 plus 30x

• 28x plus 24

• 30x plus 24

What is the area expression when distributing 6 in 6 times (5 + 4x)?

• 30 plus 24x

• 30x plus 24

• 24 plus 30x

• 28x plus 24

Which property allows us to change the order of terms in multiplication?

• Associative property

• Commutative property

• Identity property

• Distributive property

What is the final expression for the area when using the commutative property on 3 times (8 + 10x)?

• 30 plus 24x

• 28x plus 24

• 24 plus 30x

• 30x plus 24

Which of the following dimensions is possible for the rectangle?

• 6 times 5 and 6 times 4x

• 6 times 5x and 6 times 4

• 4 times 7x and 4 times 6

• 2 times 15x and 2 times 12

What is the area expression when distributing 3 in 3 times (8 + 10x)?

• 30x plus 24

• 24 plus 30x

• 30 plus 24x

• 28x plus 24